Theorems · Theorem · linear algebra
Matrix.charpoly.univ_monic
∀ (R : Type u_1) (n : Type u_3) [inst : CommRing R] [inst_1 : Fintype n] [inst_2 : DecidableEq n], (Matrix.charpoly.univ R n).Monic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingFintypeDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Fintypestatement and proof · cited by 7,736
- Finsuppstatement · cited by 5,255
- MvPolynomialstatement · cited by 2,140
- Polynomial.Monicstatement · cited by 461
- Matrix.charpoly.univstatement · cited by 13
- Matrix.mvPolynomialXproof · cited by 13
- Matrix.charpoly_monicproof · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- LinearMap.polyCharpoly_monicproof · cited by 4
- LinearMap.polyCharpoly_natDegreeproof · cited by 2
- Matrix.charpoly.univ_coeff_cardproof · cited by 0